Normality criteria for families of holomorphic mappings of several complex variables into 𝑃^{𝑁}(𝐶)

Abstract

By applying the heuristic principle in several complex variables obtained by Aladro and Krantz, we shall prove some normality criteria for families of holomorphic mappings of several complex variables into P N ( C ) P^N(C) , the complex N-dimensional projective space, related to Green’s and Nochka’s Picard type theorems. The equivalence of normality to being uniformly Montel at a point will be obtained. Some examples will be given to complement our theory in this paper.